To solve the inequality \( 9x + 3 > 12 \):

1. Subtract 3 from both sides:
\[
9x + 3 - 3 > 12 - 3
\]
\[
9x > 9
\]

2. Divide both sides by 9:
\[
x > \frac{9}{9}
\]
\[
x > 1
\]

So, the solution is \( x > 1 \).

Would you like more details on how inequalities are solved or graphically represented?

Here are 5 related questions to consider:
1. How do we solve inequalities with variables on both sides?
2. What happens when we divide by a negative number in inequalities?
3. How can inequalities be represented on a number line?
4. How do we solve compound inequalities?
5. What are the properties of linear inequalities?

**Tip:** When multiplying or dividing both sides of an inequality by a negative number, remember to reverse the inequality sign!

This solution provides a detailed step-by-step guide on solving the linear inequality 9x + 3 > 12. Key algebraic concepts such as inequality manipulation and understanding inequality properties are covered. Suitable for students in Grades 6-8.

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